Ma, Hang; Qin, Qing Hua
This paper proposes a second-order scheme of precision integration for dynamic analysis with respect to long-term integration. Rather than transforming into first-order equations, a recursive scheme is presented in detail for direct solution of the homogeneous part of second-order algebraic and differential equations. The sine and cosine matrices involved in the scheme are calculated using the so-called 2N algorithm. Numerical tests show that both the efficiency and the accuracy of homogeneous...[Show more]
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